Coexistence of stable particle and hole solutions for fixed parameter values in a simple reaction diffusion system

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 69, Issue 6 2, 2004, Pages

  Hayase, Yumino ^a,b   Descalzi, Orazio ^a,c   Brand, Helmut R ^a  

^a UNIVERSITY OF BAYREUTH   (Germany)

^b KYUSHU UNIVERSITY   (Japan)

^c UNIVERSIDAD DE LOS ANDES   (Chile)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY CONDITIONS; DIFFUSION; HOLE MOBILITY; LARGE SCALE SYSTEMS; MATHEMATICAL MODELS; OPTICAL BISTABILITY; PARAMETER ESTIMATION; PHASE DIAGRAMS; VECTORS;

AUTOCATALYTIC CHEMICAL REACTIONS; GINZBURG-LANDAU EQUATION; RAPID COMMUNICATION; REACTION-DIFFUSION MODEL;

REACTION KINETICS;

EID: 14844281935     PISSN: 15393755     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.69.065201     Document Type: Article

References (29)

1. M. C. Cross and P. C. Hohenberg, Rev. Mod. Phys. 65, 3 (1993).
2. K: J. Lee, W. D. McCormick, Q. Ouyang, and H. L. Swinney, Nature (London) 369, 215 (1994).
3. W. N. Reynolds, J. E. Pearson, and S. P. Dawson, Phys. Rev. Lett. 72, 2797 (1994).
4. Y. Hayase and T. Ohta, Phys. Rev. Lett. 81, 1726 (1998).
5. J. Kosek and M. Marek, Phys. Rev. Lett. 74, 2134 (1995).
6. T. Ohta, Y. Hayase, and R. Kobayashi, Phys. Rev. E 54, 6074 (1996).
7. O. Thual and S. Fauve, J. Phys. (Paris) 49, 503 (1988).
8. H. R. Brand and R. J. Deissler, Phys. Rev. Lett. 63, 2801 (1989).
9. R. J. Deissler and H. R. Brand, Phys. Rev. Lett. 72, 478 (1994).
10. R. E. Goldstein, G. H. Gunaratne, L. Gil, and P. Coullet, Phys. Rev. A 43, 6700 (1991).
11. H. Sakaguchi and H. R. Brand, Physica D 117, 95 (1998).
12. H. R. Brand and R. J. Deissler, Phys. Rev. Lett. 63, 508 (1989).
13. H. R. Brand and R. J. Deissler, Phys. Rev. A 46, 888 (1992).
14. K. Nozaki and N. Bekki, J. Phys. Soc. Jpn. 53, 1581 (1984).
15. H. Sakaguchi, Prog. Theor. Phys. 85, 417 (1991).
16. I. Aranson and L. Kramer, Rev. Mod. Phys. 74, 99 (2002).
17. H. R. Brand and R. J. Deissler, Physica A 216, 288 (1995).
18. H. H. Rotermund, S. Jakubith, A. von Oertzen, and G. Ertl, Phys. Rev. Lett. 66, 3083 (1991).
19. Y. Hayase, O. Descalzi, and H. R. Brand (unpublished).
20. O. Descalzi, Y. Hayase, and H. R. Brand Phys. Rev. E 69 026121 (2004).
21. O. Descalzi, M. Argentina, and E. Tirapegui, Phys. Rev. E 67, 015601 (2003); Int. J. Bifurcation Chaos Appl. Sci. Eng. 12, 2459 (2002).
22. O. Descalzi, M. Argentina, and E. Tirapegui, Phys. Rev. E 67, 015601 (2003); Int. J. Bifurcation Chaos Appl. Sci. Eng. 12, 2459 (2002).
23. O. Descalzi, Physica A 327, 23 (2003).
24. A. C. Newell and J. A. Whitehead, J. Fluid Mech. 38, 279 (1969).
25. H. R. Brand, P. S. Lomdahl and A. C. Newell, Phys. Lett. A 118, 67 (1986); Physica D 23, 345 (1986).
26. H. R. Brand, P. S. Lomdahl and A. C. Newell, Phys. Lett. A 118, 67 (1986); Physica D 23, 345 (1986).
27. J. Swift and P. C. Hohenberg, Phys. Rev. A 15, 319 (1977).
28. S. Koga and Y. Kuramoto, Prog. Theor. Phys. 63, 106 (1980).
29. V. Petrov, K. Scott, and K. Showalter, Proc. R. Soc. London, Ser. A 347, 631 (1994).